Matlab has a set of dot operators, such as .*, ./, .^. Each of these operators consists of a dot and a normal algebraic operator. They perform element-wise algebraic operations on a matrix. For example, consider the following codes
A = [1 2 3; 3 2 1]; x = [1 2 4]; B = A.^2 y = 1./x
The result is
B = 1 4 9 9 4 1 y = 1.0000 0.5000 0.2500
I find these dot operators very convenient. My question is, how to write these dot operators in mathematical expressions? (By mathematical expressions, I mean the expressions used in proofs.)
EDIT - One obvious way is to define the result matrix element-wise. But is there a way to write this result in a more compact manner?